# Permutations of Strings C

### Problem Statement :

```Strings are usually ordered in lexicographical order. That means they are ordered by comparing their leftmost different characters. For example,  abc < abd  because  c < d. Also z > yyy because  z > y. If one string is an exact prefix of the other it is lexicographically smaller, e.g., gh < ghij.

Given an array of strings sorted in lexicographical order, print all of its permutations in strict lexicographical order. If two permutations look the same, only print one of them. See the 'note' below for an example.

Complete the function next_permutation which generates the permutations in the described order.

For example, s= [ab, bc, cd ] . The six permutations in correct order are:

ab bc cd
ab cd bc
bc ab cd
bc cd ab
cd ab bc
cd bc ab

Note: There may be two or more of the same string as elements of s.

Input Format

The first line of each test file contains a single integer n , the length of the string array s.
Each of the next n lines contains a string s[i].

Constraints

2  <=  n <= 9
1  <=  s[i]  <= 10
s[i]  contains only lowercase English letters.

Output Format

Print each permutation as a list of space-separated strings on a single line.```

### Solution :

```                            ```Solution in C :

#include <stdio.h>
#include <stdlib.h>
#include <string.h>

int next_permutation(int n, char **s)
{
/**
* Complete this method
* Return 0 when there is no next permutation and 1 otherwise
* Modify array s to its next permutation
*/
for (int i = n - 1; i > 0; i--)
if (strcmp(s[i], s[i - 1]) > 0)
{
int j = i + 1;
for (; j < n; j++) if (strcmp(s[j], s[i - 1]) <= 0) break;
char *t = s[i - 1];
s[i - 1] = s[j - 1];
s[j - 1] = t;
for (; i < n - 1; i++, n--)
{
t = s[i];
s[i] = s[n - 1];
s[n - 1] = t;
}
return 1;
}
for (int i = 0; i < n - 1; i++, n--)
{
char *t = s[i];
s[i] = s[n - 1];
s[n - 1] = t;
}
return 0;
}

int main()
{
char **s;
int n;
scanf("%d", &n);
s = calloc(n, sizeof(char*));
for (int i = 0; i < n; i++)
{
s[i] = calloc(n, sizeof(char) * 11);
scanf("%s", s[i]);
}
do
{
for (int i = 0; i < n; i++)
printf("%s%c", s[i], i == n - 1 ? '\n' : ' ');
} while (next_permutation(n, s));
for (int i = 0; i < n; i++)
free(s[i]);
free(s);
return 0;
}```
```

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